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Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure (2003.12942v1)

Published 29 Mar 2020 in math.OC and math.AP

Abstract: In this paper, we study the boundary feedback stabilization of a quasilinear hyperbolic system with partially dissipative structure. Thanks to this structure, we construct a suitable Lyapunov function which leads to the exponential stability to the equilibrium of the $H2$ solution. As an application, we also obtain the feedback stabilization for the Saint-Venant-Exner model under physical boundary conditions.

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